English
An inverse problem for a model of cell motion and chemotaxis
Virtualconference
Auteurs : Klingenberg, Christian (Auteur de la Conférence)
CIRM (Editeur )
35Qxx - Equations of mathematical physics and other areas of application
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Christian_Klingenberg.pdf
CIRM (Editeur )
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Résumé :
The viewpoint proposed in this lecture is that uncertainty quantification for kinetic equations does not always represent the viewpoint of the experimentalists. Instead they want to determine the uncertain coefficient in a PDE by measuring the solution at the parts of the boundary, given data on other parts of the boundary. In other words experimentalists are interested in solving the inverse problem in a Baysian setting.
We shall give examples and results to this end. In particular we shall consider a model from mathematical biology, namely the motion of cells, as described by the kinetic chemotaxis equations. The corresponding macroscopic Keller-Segel type model will be a diffusion equation. Our aim is to study the inverse problems for these two settings. We shall analytically study the convergence of the inverse problem of the kinetic equation to the inverse problem of the corresponding diffusion equation.
This is joint work with Kathrin Hellmuth, Qin Li and Min Tang
Keywords : kinetic model; inverse problems
Codes MSC : We shall give examples and results to this end. In particular we shall consider a model from mathematical biology, namely the motion of cells, as described by the kinetic chemotaxis equations. The corresponding macroscopic Keller-Segel type model will be a diffusion equation. Our aim is to study the inverse problems for these two settings. We shall analytically study the convergence of the inverse problem of the kinetic equation to the inverse problem of the corresponding diffusion equation.
This is joint work with Kathrin Hellmuth, Qin Li and Min Tang
Keywords : kinetic model; inverse problems
35Qxx - Equations of mathematical physics and other areas of application
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Christian_Klingenberg.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/04/2021 Date de captation : 22/03/2021 Sous collection : Research talks arXiv category : Analysis of PDEs Domaine : PDE Format : MP4 (.mp4) - HD Durée : 00:30:14 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-22_Klingenberg.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL Congrès : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19734803Citer cette vidéo: Klingenberg, Christian (2021). An inverse problem for a model of cell motion and chemotaxis. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19734803 URI : http://dx.doi.org/10.24350/CIRM.V.19734803 |
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